Cycle type and descent set in wreath products
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Publication:1381834
DOI10.1016/S0012-365X(97)00123-4zbMath0892.05003MaRDI QIDQ1381834
Publication date: 19 July 1998
Published in: Discrete Mathematics (Search for Journal in Brave)
Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)
Related Items (28)
Wreath Macdonald polynomials at 𝑞=𝑡 as characters of rational Cherednik algebras ⋮ Quasi-symmetric functions and the KP hierarchy ⋮ Analysis of casino shelf shuffling machines ⋮ Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functions ⋮ Counting derangements, involutions and unimodal elements in the wreath product \(C_r\wr\mathfrak S_n\) ⋮ The colored Eulerian descent algebra ⋮ The permutation enumeration of wreath products \(C_{k}\wr S_{n}\) of cyclic and symmetric groups ⋮ The Eulerian distribution on the fixed-point free involutions of the hyperoctahedral group ⋮ A generalization of the dual immaculate quasisymmetric functions in partially commutative variables ⋮ Exact and asymptotic enumeration of cyclic permutations according to descent set ⋮ Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras. ⋮ Plethystic formulas for permutation enumeration ⋮ Colored posets and colored quasisymmetric functions ⋮ Gamma-positivity in combinatorics and geometry ⋮ A new link between the descent algebra of type B, domino tableaux and Chow's quasisymmetric functions ⋮ A symmetry of the descent algebra of a finite Coxeter group. ⋮ Combinatorial Hopf algebras, noncommutative Hall-Littlewood functions, and permutation tableaux ⋮ Specializations of colored quasisymmetric functions and Euler-Mahonian identities ⋮ A Solomon descent theory for the wreath products $G\wr\mathfrak S_n$ ⋮ Yang-Baxter bases of 0-Hecke algebras and representation theory of 0-Ariki-Koike-Shoji algebras. ⋮ A symmetry property of Solomon's algebra and of higher Lie characters ⋮ Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables ⋮ Some applications of Rees products of posets to equivariant gamma-positivity ⋮ Algebraic structures on Grothendieck groups of a tower of algebras. ⋮ Block number, descents and Schur positivity of fully commutative elements in \(B_n\) ⋮ The Eulerian distribution on the involutions of the hyperoctahedral group is unimodal ⋮ Reflection length with two parameters in the asymptotic representation theory of type B/C and applications ⋮ Character formulas and descents for the hyperoctahedral group
Cites Work
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